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Finding the Fourth Proportional to 771.90, 1,156.89 and 406.45

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Solution

The fourth proportional to 771.90, 1,156.89 and 406.45 is: 609.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.90 : 1,156.89 = 406.45 : x
  2. Step 2: Convert to fraction form
    771.90/1,156.89 = 406.45/x
  3. Step 3: Cross multiply
    771.90x = 1,156.89 × 406.45
  4. Step 4: Simplify right side
    771.90x = 470,217.94
  5. Step 5: Solve for x
    x = 470,217.94/771.90
  6. Step 6: Final answer
    x = 609.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.